If `f(x)={asinpi/2(x+1), ,xlt=0(tanx-sinx)/(x^3),x >0` is continuous at `x=0` , then a equal `1/2` (b) `1/3` (c) `1/4` (d) `1/6`

f(x)={a(sin pi)/(2)(x+1),x is continuous at x=0, then a equal (a) (1)/(2)( b) (1)/(3)(c)(1)/(4) (d) (1)/(6)

If f(x) = ((1+sinx)-sqrt(1-sinx))/(x) , x != 0 , is continuous at x = 0, then f(0) is

If f(x) (2^(x)-1)/(1-3^(x)) , x != 0 is continuous at x = 0 then : f(0) =

If f(x)={(log_(1-3x)(1+3x), x!=0),(=k ,x=0)) is continuous at x=0, then value of k equals (A) -1 (B) 1 (C) 2 (D) -2

f(x)={(sqrt(1+p x)-sqrt(1-p x))/x ,-1lt=x<0(2x+1)/(x-2),0geqxgeq1 is continuous in the interval [-1,1], then p is equal to -1 (b) -1/2 (c) 1/2 (d) 1

If the function f(x) = (x(e^(sinx) -1))/( 1 - cos x ) is continuous at x =0 then f(0)=

If f(x)=(1-cos2x)/(x^(2)) , x!=0 and f(x) is continuous at x=0 ,then f(0)= (a) 1 (b) 2 (c) 3 (d) None of these